400861142922240 has 7040 divisors, whose sum is σ = 2070850373222400. Its totient is φ = 71350207119360.

The previous prime is 400861142922169. The next prime is 400861142922299. The reversal of 400861142922240 is 42229241168004.

400861142922240 is a `hidden beast` number, since 4 + 0 + 0 + 8 + 6 + 114 + 292 + 2 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (7040).

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

It is a congruent number.

It is an unprimeable number.

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 639 ways as a sum of consecutive naturals, for example, 557525928601 + ... + 557525929319.

It is an arithmetic number, because the mean of its divisors is an integer number (294154882560).

Almost surely, 2^{400861142922240} is an apocalyptic number.

400861142922240 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 400861142922240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1035425186611200).

400861142922240 is an abundant number, since it is smaller than the sum of its proper divisors (1669989230300160).

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

400861142922240 is a wasteful number, since it uses less digits than its factorization.

400861142922240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 883 (or 856 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 400861142922240 in words is "four hundred trillion, eight hundred sixty-one billion, one hundred forty-two million, nine hundred twenty-two thousand, two hundred forty".