1540026432 has 420 divisors, whose sum is σ = 5535070464. Its totient is φ = 414305280.

The previous prime is 1540026431. The next prime is 1540026443. The reversal of 1540026432 is 2346200451.

1540026432 is a `hidden beast` number, since 15 + 4 + 0 + 0 + 2 + 643 + 2 = 666.

It is a super-2 number, since 2×1540026432² = 4743362822517301248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1540026396 and 1540026405.

It is not an unprimeable number, because it can be changed into a prime (1540026431) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 41622318 + ... + 41622354.

Almost surely, 2^1540026432 is an apocalyptic number.

1540026432 is a gapful number since it is divisible by the number (12) 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 1540026432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2767535232).

1540026432 is an abundant number, since it is smaller than the sum of its proper divisors (3995044032).

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

1540026432 is an equidigital number, since it uses as much as digits as its factorization.

1540026432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 1540026432 is about 39243.1705141162. The cubic root of 1540026432 is about 1154.8069571115.

Adding to 1540026432 its reverse (2346200451), we get a palindrome (3886226883).

The spelling of 1540026432 in words is "one billion, five hundred forty million, twenty-six thousand, four hundred thirty-two".