40903632 has 360 divisors, whose sum is σ = 158775552. Its totient is φ = 9676800.

The previous prime is 40903631. The next prime is 40903633. The reversal of 40903632 is 23630904.

It is an interprime number because it is at equal distance from previous prime (40903631) and next prime (40903633).

It is a super-2 number, since 2×40903632² = 3346214221582848, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40903596 and 40903605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40903631) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1319457 + ... + 1319487.

Almost surely, 2^40903632 is an apocalyptic number.

40903632 is a gapful number since it is divisible by the number (42) 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 40903632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79387776).

40903632 is an abundant number, since it is smaller than the sum of its proper divisors (117871920).

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

40903632 is a wasteful number, since it uses less digits than its factorization.

40903632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 40903632 is about 6395.5947338774. The cubic root of 40903632 is about 344.5513512837.

The spelling of 40903632 in words is "forty million, nine hundred three thousand, six hundred thirty-two".