40294051200 has 576 divisors, whose sum is σ = 155795028480. Its totient is φ = 9857433600.

The previous prime is 40294051181. The next prime is 40294051271. The reversal of 40294051200 is 215049204.

40294051200 is a `hidden beast` number, since 402 + 9 + 4 + 0 + 51 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-4 number, since 4×40294051200⁴ (a number of 44 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 105206209 + ... + 105206591.

It is an arithmetic number, because the mean of its divisors is an integer number (270477480).

Almost surely, 2^40294051200 is an apocalyptic number.

40294051200 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 40294051200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77897514240).

40294051200 is an abundant number, since it is smaller than the sum of its proper divisors (115500977280).

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

40294051200 is a wasteful number, since it uses less digits than its factorization.

40294051200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 707 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 40294051200 in words is "forty billion, two hundred ninety-four million, fifty-one thousand, two hundred".