400947962688000 has 11520 divisors, whose sum is σ = 2068265382543360. Its totient is φ = 75461787648000.

The previous prime is 400947962687957. The next prime is 400947962688043. The reversal of 400947962688000 is 886269749004.

400947962688000 is a `hidden beast` number, since 40 + 0 + 9 + 479 + 62 + 68 + 8 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (400947962687957) and next prime (400947962688043).

It is a tau number, because it is divible by the number of its divisors (11520).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 10836431423982 + ... + 10836431424018.

It is an arithmetic number, because the mean of its divisors is an integer number (179536925568).

Almost surely, 2^{400947962688000} is an apocalyptic number.

400947962688000 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 400947962688000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1034132691271680).

400947962688000 is an abundant number, since it is smaller than the sum of its proper divisors (1667317419855360).

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

400947962688000 is a wasteful number, since it uses less digits than its factorization.

400947962688000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 400947962688000 in words is "four hundred trillion, nine hundred forty-seven billion, nine hundred sixty-two million, six hundred eighty-eight thousand".