16400755103040 has 1344 divisors, whose sum is σ = 71201961971712. Its totient is φ = 3366029721600.

The previous prime is 16400755102987. The next prime is 16400755103053. The reversal of 16400755103040 is 4030155700461.

16400755103040 is a `hidden beast` number, since 1 + 6 + 4 + 0 + 0 + 75 + 510 + 30 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a junction number, because it is equal to n+sod(n) for n = 16400755102986 and 16400755103004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6768779269 + ... + 6768781691.

Almost surely, 2^{16400755103040} is an apocalyptic number.

16400755103040 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 16400755103040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35600980985856).

16400755103040 is an abundant number, since it is smaller than the sum of its proper divisors (54801206868672).

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

16400755103040 is a wasteful number, since it uses less digits than its factorization.

16400755103040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2828 (or 2815 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 16400755103040 in words is "sixteen trillion, four hundred billion, seven hundred fifty-five million, one hundred three thousand, forty".