40512296448000 has 2080 divisors, whose sum is σ = 164006384173632. Its totient is φ = 9889579008000.

The previous prime is 40512296447971. The next prime is 40512296448007. The reversal of 40512296448000 is 84469221504.

It is a happy number.

40512296448000 is a `hidden beast` number, since 4 + 0 + 512 + 2 + 96 + 4 + 48 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2080).

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 (40512296448007) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 87879167770 + ... + 87879168230.

Almost surely, 2^{40512296448000} is an apocalyptic number.

40512296448000 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 40512296448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82003192086816).

40512296448000 is an abundant number, since it is smaller than the sum of its proper divisors (123494087725632).

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

40512296448000 is a wasteful number, since it uses less digits than its factorization.

40512296448000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 40512296448000 in words is "forty trillion, five hundred twelve billion, two hundred ninety-six million, four hundred forty-eight thousand".