400361040 has 120 divisors (see below), whose sum is σ = 1373269248. Its totient is φ = 104482560.

The previous prime is 400361029. The next prime is 400361051. The reversal of 400361040 is 40163004.

It is an interprime number because it is at equal distance from previous prime (400361029) and next prime (400361051).

It is a tau number, because it is divible by the number of its divisors (120).

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 23 ways as a sum of consecutive naturals, for example, 27925 + ... + 39755.

Almost surely, 2^400361040 is an apocalyptic number.

400361040 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 400361040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686634624).

400361040 is an abundant number, since it is smaller than the sum of its proper divisors (972908208).

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

400361040 is a wasteful number, since it uses less digits than its factorization.

400361040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11897 (or 11888 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 400361040 is about 20009.0239642018. The cubic root of 400361040 is about 737.0279135206.

The spelling of 400361040 in words is "four hundred million, three hundred sixty-one thousand, forty".