400370040 has 320 divisors, whose sum is σ = 1561190400. Its totient is φ = 90139392.

The previous prime is 400370021. The next prime is 400370041. The reversal of 400370040 is 40073004.

It is a super-3 number, since 3×400370040³ (a number of 27 digits) contains 333 as substring.

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 = 400369995 and 400370022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400370041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2880291 + ... + 2880429.

It is an arithmetic number, because the mean of its divisors is an integer number (4878720).

Almost surely, 2^400370040 is an apocalyptic number.

400370040 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 400370040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (780595200).

400370040 is an abundant number, since it is smaller than the sum of its proper divisors (1160820360).

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

400370040 is a wasteful number, since it uses less digits than its factorization.

400370040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 400370040 is about 20009.2488614640. The cubic root of 400370040 is about 737.0334362038.

The spelling of 400370040 in words is "four hundred million, three hundred seventy thousand, forty".