40414001632 has 36 divisors (see below), whose sum is σ = 82214537328. Its totient is φ = 19555147200.

The previous prime is 40414001603. The next prime is 40414001647. The reversal of 40414001632 is 23610041404.

40414001632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×40414001632² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40414001597 and 40414001606.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 626344 + ... + 687847.

It is an arithmetic number, because the mean of its divisors is an integer number (2283737148).

Almost surely, 2^40414001632 is an apocalyptic number.

It is an amenable number.

40414001632 is an abundant number, since it is smaller than the sum of its proper divisors (41800535696).

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

40414001632 is a wasteful number, since it uses less digits than its factorization.

40414001632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1314263 (or 1314224 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The spelling of 40414001632 in words is "forty billion, four hundred fourteen million, one thousand, six hundred thirty-two".