40575028032000 has 3840 divisors, whose sum is σ = 195227120664576. Its totient is φ = 8151736320000.

The previous prime is 40575028031981. The next prime is 40575028032013. The reversal of 40575028032000 is 23082057504.

40575028032000 is a `hidden beast` number, since 4 + 0 + 5 + 7 + 50 + 280 + 320 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 37122623454 + ... + 37122624546.

Almost surely, 2^{40575028032000} is an apocalyptic number.

40575028032000 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 40575028032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97613560332288).

40575028032000 is an abundant number, since it is smaller than the sum of its proper divisors (154652092632576).

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

40575028032000 is a wasteful number, since it uses less digits than its factorization.

40575028032000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1190 (or 1152 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 40575028032000 in words is "forty trillion, five hundred seventy-five billion, twenty-eight million, thirty-two thousand".