1455010040 has 128 divisors (see below), whose sum is σ = 3734424000. Its totient is φ = 505344000.

The previous prime is 1455010031. The next prime is 1455010097. The reversal of 1455010040 is 400105541.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1455009994 and 1455010021.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1288196 + ... + 1289324.

Almost surely, 2^1455010040 is an apocalyptic number.

1455010040 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 1455010040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1867212000).

1455010040 is an abundant number, since it is smaller than the sum of its proper divisors (2279413960).

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

1455010040 is a wasteful number, since it uses less digits than its factorization.

1455010040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1281 (or 1277 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 1455010040 is about 38144.5938502431. The cubic root of 1455010040 is about 1133.1532882002.

Adding to 1455010040 its reverse (400105541), we get a palindrome (1855115581).

The spelling of 1455010040 in words is "one billion, four hundred fifty-five million, ten thousand, forty".