40102920 has 384 divisors, whose sum is σ = 165110400. Its totient is φ = 8294400.

The previous prime is 40102913. The next prime is 40102921. The reversal of 40102920 is 2920104.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 40102893 and 40102902.

It is not an unprimeable number, because it can be changed into a prime (40102921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 978100 + ... + 978140.

It is an arithmetic number, because the mean of its divisors is an integer number (429975).

Almost surely, 2^40102920 is an apocalyptic number.

40102920 is a gapful number since it is divisible by the number (40) 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 40102920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82555200).

40102920 is an abundant number, since it is smaller than the sum of its proper divisors (125007480).

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

40102920 is a wasteful number, since it uses less digits than its factorization.

40102920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 40102920 is about 6332.6866336493. The cubic root of 40102920 is about 342.2882559994.

The spelling of 40102920 in words is "forty million, one hundred two thousand, nine hundred twenty".