10457414408 has 256 divisors, whose sum is σ = 26127360000. Its totient is φ = 3816529920.

The previous prime is 10457414399. The next prime is 10457414437. The reversal of 10457414408 is 80441475401.

It is a super-2 number, since 2×10457414408² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43754753 + ... + 43754991.

It is an arithmetic number, because the mean of its divisors is an integer number (102060000).

Almost surely, 2^10457414408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10457414408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13063680000).

10457414408 is an abundant number, since it is smaller than the sum of its proper divisors (15669945592).

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

10457414408 is a wasteful number, since it uses less digits than its factorization.

10457414408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 38.

Adding to 10457414408 its reverse (80441475401), we get a palindrome (90898889809).

The spelling of 10457414408 in words is "ten billion, four hundred fifty-seven million, four hundred fourteen thousand, four hundred eight".