400962261120 has 256 divisors, whose sum is σ = 1373452848000. Its totient is φ = 99131129856.

The previous prime is 400962261083. The next prime is 400962261127. The reversal of 400962261120 is 21162269004.

It is not an unprimeable number, because it can be changed into a prime (400962261127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2095206 + ... + 2278554.

Almost surely, 2^400962261120 is an apocalyptic number.

400962261120 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 400962261120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686726424000).

400962261120 is an abundant number, since it is smaller than the sum of its proper divisors (972490586880).

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

400962261120 is a wasteful number, since it uses less digits than its factorization.

400962261120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183455 (or 183443 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The spelling of 400962261120 in words is "four hundred billion, nine hundred sixty-two million, two hundred sixty-one thousand, one hundred twenty".