400107939840 has 864 divisors, whose sum is σ = 1653211221480. Its totient is φ = 89181388800.

The previous prime is 400107939821. The next prime is 400107939841. The reversal of 400107939840 is 48939701004.

It can be written as a sum of positive squares in 4 ways, for example, as 241308877824 + 158799062016 = 491232^2 + 398496^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (400107939841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 185148360 + ... + 185150520.

Almost surely, 2^400107939840 is an apocalyptic number.

400107939840 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 400107939840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (826605610740).

400107939840 is an abundant number, since it is smaller than the sum of its proper divisors (1253103281640).

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

400107939840 is a wasteful number, since it uses less digits than its factorization.

400107939840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2249 (or 2219 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 400107939840 in words is "four hundred billion, one hundred seven million, nine hundred thirty-nine thousand, eight hundred forty".