400137642 has 24 divisors (see below), whose sum is σ = 867335040. Its totient is φ = 133322280.

The previous prime is 400137641. The next prime is 400137643. The reversal of 400137642 is 246731004.

400137642 is a `hidden beast` number, since 4 + 0 + 0 + 13 + 7 + 642 = 666.

It is an interprime number because it is at equal distance from previous prime (400137641) and next prime (400137643).

It is a super-2 number, since 2×400137642² = 320220265090640328, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (400137641) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 73159 + ... + 78437.

It is an arithmetic number, because the mean of its divisors is an integer number (36138960).

Almost surely, 2^400137642 is an apocalyptic number.

400137642 is an abundant number, since it is smaller than the sum of its proper divisors (467197398).

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

400137642 is a wasteful number, since it uses less digits than its factorization.

400137642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9498 (or 9495 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 400137642 is about 20003.4407540303. The cubic root of 400137642 is about 736.8908029467.

Adding to 400137642 its reverse (246731004), we get a palindrome (646868646).

The spelling of 400137642 in words is "four hundred million, one hundred thirty-seven thousand, six hundred forty-two".