400938222048 has 192 divisors, whose sum is σ = 1299434088960. Its totient is φ = 105407649792.

The previous prime is 400938221987. The next prime is 400938222073. The reversal of 400938222048 is 840222839004.

It is a happy number.

It is a super-2 number, since 2×400938222048² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2696923 + ... + 2841701.

It is an arithmetic number, because the mean of its divisors is an integer number (6767885880).

Almost surely, 2^400938222048 is an apocalyptic number.

400938222048 is a gapful number since it is divisible by the number (48) 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 400938222048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649717044480).

400938222048 is an abundant number, since it is smaller than the sum of its proper divisors (898495866912).

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

400938222048 is a wasteful number, since it uses less digits than its factorization.

400938222048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145129 (or 145121 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The spelling of 400938222048 in words is "four hundred billion, nine hundred thirty-eight million, two hundred twenty-two thousand, forty-eight".