40102938 has 80 divisors (see below), whose sum is σ = 96180480. Its totient is φ = 12459744.

The previous prime is 40102921. The next prime is 40102963. The reversal of 40102938 is 83920104.

40102938 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 175008 + ... + 175236.

It is an arithmetic number, because the mean of its divisors is an integer number (1202256).

Almost surely, 2^40102938 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40102938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48090240).

40102938 is an abundant number, since it is smaller than the sum of its proper divisors (56077542).

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

40102938 is a wasteful number, since it uses less digits than its factorization.

40102938 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 40102938 is about 6332.6880548469. The cubic root of 40102938 is about 342.2883072109.

The spelling of 40102938 in words is "forty million, one hundred two thousand, nine hundred thirty-eight".