40375113292800 has 3564 divisors, whose sum is σ = 180764576269368. Its totient is φ = 8814624768000.

The previous prime is 40375113292799. The next prime is 40375113292807. The reversal of 40375113292800 is 829231157304.

It is a happy number.

40375113292800 is a `hidden beast` number, since 4 + 0 + 37 + 5 + 11 + 329 + 280 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3564).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40375113292807) by changing a digit.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 984758860780 + ... + 984758860820.

Almost surely, 2^{40375113292800} is an apocalyptic number.

40375113292800 is a gapful number since it is divisible by the number (40) 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 40375113292800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90382288134684).

40375113292800 is an abundant number, since it is smaller than the sum of its proper divisors (140389462976568).

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

40375113292800 is an equidigital number, since it uses as much as digits as its factorization.

40375113292800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 40375113292800 in words is "forty trillion, three hundred seventy-five billion, one hundred thirteen million, two hundred ninety-two thousand, eight hundred".