10325346877440 has 1440 divisors, whose sum is σ = 43507718521344. Its totient is φ = 2293235712000.

The previous prime is 10325346877337. The next prime is 10325346877471. The reversal of 10325346877440 is 4477864352301.

10325346877440 is a `hidden beast` number, since 1 + 0 + 3 + 2 + 534 + 68 + 7 + 7 + 4 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×10325346877440² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 13748797065 + ... + 13748797815.

Almost surely, 2^{10325346877440} is an apocalyptic number.

10325346877440 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 10325346877440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21753859260672).

10325346877440 is an abundant number, since it is smaller than the sum of its proper divisors (33182371643904).

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

10325346877440 is an frugal number, since it uses more digits than its factorization.

10325346877440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 846 (or 805 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 54.

The spelling of 10325346877440 in words is "ten trillion, three hundred twenty-five billion, three hundred forty-six million, eight hundred seventy-seven thousand, four hundred forty".