40136046272 has 224 divisors, whose sum is σ = 97633536000. Its totient is φ = 15989944320.

The previous prime is 40136046241. The next prime is 40136046373. The reversal of 40136046272 is 27264063104.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×40136046272² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 167933129 + ... + 167933367.

It is an arithmetic number, because the mean of its divisors is an integer number (435864000).

Almost surely, 2^40136046272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40136046272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48816768000).

40136046272 is an abundant number, since it is smaller than the sum of its proper divisors (57497489728).

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

40136046272 is a wasteful number, since it uses less digits than its factorization.

40136046272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 567 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 35.

The spelling of 40136046272 in words is "forty billion, one hundred thirty-six million, forty-six thousand, two hundred seventy-two".