40212864 has 96 divisors (see below), whose sum is σ = 117669240. Its totient is φ = 13178880.

The previous prime is 40212863. The next prime is 40212883. The reversal of 40212864 is 46821204.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40212863) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 76924 + ... + 77444.

Almost surely, 2^40212864 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 40212864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58834620).

40212864 is an abundant number, since it is smaller than the sum of its proper divisors (77456376).

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

40212864 is a wasteful number, since it uses less digits than its factorization.

40212864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 608 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 40212864 is about 6341.3613680345. The cubic root of 40212864 is about 342.6007702490.

The spelling of 40212864 in words is "forty million, two hundred twelve thousand, eight hundred sixty-four".