400120142240 has 384 divisors, whose sum is σ = 1179855548928. Its totient is φ = 124853944320.

The previous prime is 400120142239. The next prime is 400120142281. The reversal of 400120142240 is 42241021004.

It is a super-2 number, since 2×400120142240² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 693448832 + ... + 693449408.

It is an arithmetic number, because the mean of its divisors is an integer number (3072540492).

Almost surely, 2^400120142240 is an apocalyptic number.

400120142240 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 400120142240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589927774464).

400120142240 is an abundant number, since it is smaller than the sum of its proper divisors (779735406688).

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

400120142240 is a wasteful number, since it uses less digits than its factorization.

400120142240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1200 (or 1192 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 400120142240 its reverse (42241021004), we get a palindrome (442361163244).

The spelling of 400120142240 in words is "four hundred billion, one hundred twenty million, one hundred forty-two thousand, two hundred forty".