400426335360 has 768 divisors, whose sum is σ = 1466449920000. Its totient is φ = 100544716800.

The previous prime is 400426335349. The next prime is 400426335371. The reversal of 400426335360 is 63533624004.

400426335360 is a `hidden beast` number, since 4 + 0 + 0 + 4 + 263 + 35 + 360 = 666.

It is an interprime number because it is at equal distance from previous prime (400426335349) and next prime (400426335371).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2012192541 + ... + 2012192739.

It is an arithmetic number, because the mean of its divisors is an integer number (1909440000).

Almost surely, 2^400426335360 is an apocalyptic number.

400426335360 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 400426335360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733224960000).

400426335360 is an abundant number, since it is smaller than the sum of its proper divisors (1066023584640).

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

400426335360 is a wasteful number, since it uses less digits than its factorization.

400426335360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 36.

Adding to 400426335360 its reverse (63533624004), we get a palindrome (463959959364).

The spelling of 400426335360 in words is "four hundred billion, four hundred twenty-six million, three hundred thirty-five thousand, three hundred sixty".