40401900 has 324 divisors, whose sum is σ = 162083376. Its totient is φ = 8236800.

The previous prime is 40401887. The next prime is 40401913. The reversal of 40401900 is 910404.

It is an interprime number because it is at equal distance from previous prime (40401887) and next prime (40401913).

It is a super-2 number, since 2×40401900² = 3264627047220000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 762274 + ... + 762326.

Almost surely, 2^40401900 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 40401900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81041688).

40401900 is an abundant number, since it is smaller than the sum of its proper divisors (121681476).

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

40401900 is a wasteful number, since it uses less digits than its factorization.

40401900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 81 counting only the distinct ones).

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

The square root of 40401900 is about 6356.2488938052. The cubic root of 40401900 is about 343.1367733625.

It can be divided in two parts, 40401 and 900, that multiplied together give a square (36360900 = 6030²).

The spelling of 40401900 in words is "forty million, four hundred one thousand, nine hundred".