400101400320 has 144 divisors (see below), whose sum is σ = 1312360092960. Its totient is φ = 103810056192.

The previous prime is 400101400291. The next prime is 400101400333. The reversal of 400101400320 is 23004101004.

It is a super-2 number, since 2×400101400320² (a number of 24 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 400101400320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1265935 + ... + 1550094.

Almost surely, 2^400101400320 is an apocalyptic number.

400101400320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

400101400320 is an abundant number, since it is smaller than the sum of its proper divisors (912258692640).

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

400101400320 is a wasteful number, since it uses less digits than its factorization.

400101400320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2816090 (or 2816076 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 400101400320 its reverse (23004101004), we get a palindrome (423105501324).

The spelling of 400101400320 in words is "four hundred billion, one hundred one million, four hundred thousand, three hundred twenty".