400108212680 has 256 divisors, whose sum is σ = 1048360320000. Its totient is φ = 136063549440.

The previous prime is 400108212667. The next prime is 400108212739. The reversal of 400108212680 is 86212801004.

It is a happy number.

It is a super-2 number, since 2×400108212680² (a number of 24 digits) contains 22 as substring.

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, 53422376 + ... + 53429864.

It is an arithmetic number, because the mean of its divisors is an integer number (4095157500).

Almost surely, 2^400108212680 is an apocalyptic number.

400108212680 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 400108212680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524180160000).

400108212680 is an abundant number, since it is smaller than the sum of its proper divisors (648252107320).

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

400108212680 is a wasteful number, since it uses less digits than its factorization.

400108212680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7672 (or 7668 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 32.

The spelling of 400108212680 in words is "four hundred billion, one hundred eight million, two hundred twelve thousand, six hundred eighty".