40201506464 has 96 divisors (see below), whose sum is σ = 92586574080. Its totient is φ = 16827512832.

The previous prime is 40201506463. The next prime is 40201506479. The reversal of 40201506464 is 46460510204.

It is a super-2 number, since 2×40201506464² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 40201506464.

It is not an unprimeable number, because it can be changed into a prime (40201506463) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1672322 + ... + 1696190.

It is an arithmetic number, because the mean of its divisors is an integer number (964443480).

Almost surely, 2^40201506464 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 40201506464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46293287040).

40201506464 is an abundant number, since it is smaller than the sum of its proper divisors (52385067616).

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

40201506464 is a wasteful number, since it uses less digits than its factorization.

40201506464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24062 (or 24054 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The spelling of 40201506464 in words is "forty billion, two hundred one million, five hundred six thousand, four hundred sixty-four".