1542097440 has 432 divisors, whose sum is σ = 5936957208. Its totient is φ = 376233984.

The previous prime is 1542097439. The next prime is 1542097441. The reversal of 1542097440 is 447902451.

It is a happy number.

1542097440 is a `hidden beast` number, since 1 + 5 + 4 + 209 + 7 + 440 = 666.

It is an interprime number because it is at equal distance from previous prime (1542097439) and next prime (1542097441).

It can be written as a sum of positive squares in 4 ways, for example, as 471237264 + 1070860176 = 21708^2 + 32724^2 .

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1542097395 and 1542097404.

It is not an unprimeable number, because it can be changed into a prime (1542097441) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13646824 + ... + 13646936.

Almost surely, 2^1542097440 is an apocalyptic number.

1542097440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1542097440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2968478604).

1542097440 is an abundant number, since it is smaller than the sum of its proper divisors (4394859768).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1542097440 is an equidigital number, since it uses as much as digits as its factorization.

1542097440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 1542097440 is about 39269.5485077178. The cubic root of 1542097440 is about 1155.3243818185.

Adding to 1542097440 its reverse (447902451), we get a palindrome (1989999891).

The spelling of 1542097440 in words is "one billion, five hundred forty-two million, ninety-seven thousand, four hundred forty".