10840125542400 has 2340 divisors, whose sum is σ = 50474603265856. Its totient is φ = 2251033804800.

The previous prime is 10840125542399. The next prime is 10840125542417. The reversal of 10840125542400 is 424552104801.

10840125542400 is a `hidden beast` number, since 1 + 0 + 8 + 401 + 2 + 5 + 5 + 4 + 240 + 0 = 666.

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

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 179 ways as a sum of consecutive naturals, for example, 7025356029 + ... + 7025357571.

Almost surely, 2^{10840125542400} is an apocalyptic number.

10840125542400 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 10840125542400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25237301632928).

10840125542400 is an abundant number, since it is smaller than the sum of its proper divisors (39634477723456).

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

10840125542400 is a wasteful number, since it uses less digits than its factorization.

10840125542400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1618 (or 1571 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The spelling of 10840125542400 in words is "ten trillion, eight hundred forty billion, one hundred twenty-five million, five hundred forty-two thousand, four hundred".