40301494272000 has 1840 divisors, whose sum is σ = 164043706178352. Its totient is φ = 9784472371200.

The previous prime is 40301494271963. The next prime is 40301494272019. The reversal of 40301494272000 is 27249410304.

40301494272000 is a `hidden beast` number, since 40 + 30 + 149 + 427 + 20 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 19406209941504 + 20895284330496 = 4405248^2 + 4571136^2 .

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 79 ways as a sum of consecutive naturals, for example, 552075263964 + ... + 552075264036.

Almost surely, 2^{40301494272000} is an apocalyptic number.

40301494272000 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 40301494272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82021853089176).

40301494272000 is an abundant number, since it is smaller than the sum of its proper divisors (123742211906352).

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

40301494272000 is an frugal number, since it uses more digits than its factorization.

40301494272000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 40301494272000 in words is "forty trillion, three hundred one billion, four hundred ninety-four million, two hundred seventy-two thousand".