10900192343040 has 5280 divisors, whose sum is σ = 55558231077888. Its totient is φ = 2023302758400.

The previous prime is 10900192342981. The next prime is 10900192343263. The reversal of 10900192343040 is 4034329100901.

10900192343040 is a `hidden beast` number, since 1 + 0 + 90 + 0 + 192 + 343 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (5280).

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 = 10900192342986 and 10900192343004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 351619107825 + ... + 351619107855.

Almost surely, 2^{10900192343040} is an apocalyptic number.

10900192343040 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 10900192343040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27779115538944).

10900192343040 is an abundant number, since it is smaller than the sum of its proper divisors (44658038734848).

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

10900192343040 is a wasteful number, since it uses less digits than its factorization.

10900192343040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 10900192343040 in words is "ten trillion, nine hundred billion, one hundred ninety-two million, three hundred forty-three thousand, forty".