40011948 has 192 divisors, whose sum is σ = 122572800. Its totient is φ = 11197440.

The previous prime is 40011947. The next prime is 40011977. The reversal of 40011948 is 84911004.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40011943) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1081386 + ... + 1081422.

It is an arithmetic number, because the mean of its divisors is an integer number (638400).

Almost surely, 2^40011948 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 40011948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61286400).

40011948 is an abundant number, since it is smaller than the sum of its proper divisors (82560852).

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

40011948 is a wasteful number, since it uses less digits than its factorization.

40011948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 40011948 is about 6325.4998221484. The cubic root of 40011948 is about 342.0292372665.

The spelling of 40011948 in words is "forty million, eleven thousand, nine hundred forty-eight".