40956048 has 120 divisors (see below), whose sum is σ = 134324736. Its totient is φ = 11404800.

The previous prime is 40956029. The next prime is 40956061. The reversal of 40956048 is 84065904.

40956048 is a `hidden beast` number, since 40 + 9 + 5 + 604 + 8 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40833 + ... + 41823.

Almost surely, 2^40956048 is an apocalyptic number.

40956048 is a gapful number since it is divisible by the number (48) 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 40956048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67162368).

40956048 is an abundant number, since it is smaller than the sum of its proper divisors (93368688).

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

40956048 is a wasteful number, since it uses less digits than its factorization.

40956048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1053 (or 1044 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 40956048 is about 6399.6912425523. The cubic root of 40956048 is about 344.6984636867.

The spelling of 40956048 in words is "forty million, nine hundred fifty-six thousand, forty-eight".