40051968 has 108 divisors (see below), whose sum is σ = 117440064. Its totient is φ = 12108800.

The previous prime is 40051967. The next prime is 40052009. The reversal of 40051968 is 86915004.

It is a super-3 number, since 3×40051968³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40051967) 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, 92713 + ... + 93143.

It is an arithmetic number, because the mean of its divisors is an integer number (1087408).

Almost surely, 2^40051968 is an apocalyptic number.

40051968 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 40051968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58720032).

40051968 is an abundant number, since it is smaller than the sum of its proper divisors (77388096).

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

40051968 is a wasteful number, since it uses less digits than its factorization.

40051968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 40051968 is about 6328.6624179206. The cubic root of 40051968 is about 342.1432319582.

The spelling of 40051968 in words is "forty million, fifty-one thousand, nine hundred sixty-eight".