40138752 has 96 divisors (see below), whose sum is σ = 110073600. Its totient is φ = 13000704.

The previous prime is 40138729. The next prime is 40138771. The reversal of 40138752 is 25783104.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×40138752² = 3222238824235008, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 288699 + ... + 288837.

It is an arithmetic number, because the mean of its divisors is an integer number (1146600).

Almost surely, 2^40138752 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 40138752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55036800).

40138752 is an abundant number, since it is smaller than the sum of its proper divisors (69934848).

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

40138752 is a wasteful number, since it uses less digits than its factorization.

40138752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 40138752 is about 6335.5151329627. The cubic root of 40138752 is about 342.3901706207.

The spelling of 40138752 in words is "forty million, one hundred thirty-eight thousand, seven hundred fifty-two".