400115040 has 192 divisors, whose sum is σ = 1394801856. Its totient is φ = 95772672.

The previous prime is 400115039. The next prime is 400115063. The reversal of 400115040 is 40511004.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 230014 + ... + 231746.

It is an arithmetic number, because the mean of its divisors is an integer number (7264593).

Almost surely, 2^400115040 is an apocalyptic number.

400115040 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 400115040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697400928).

400115040 is an abundant number, since it is smaller than the sum of its proper divisors (994686816).

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

400115040 is a wasteful number, since it uses less digits than its factorization.

400115040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1801 (or 1793 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 400115040 is about 20002.8757932453. The cubic root of 400115040 is about 736.8769281215.

Adding to 400115040 its reverse (40511004), we get a palindrome (440626044).

It can be divided in two parts, 400 and 115040, that added together give a triangular number (115440 = T₄₈₀).

The spelling of 400115040 in words is "four hundred million, one hundred fifteen thousand, forty".