400843862870400 has 384 divisors, whose sum is σ = 1467213625130400. Its totient is φ = 106874469089280.

The previous prime is 400843862870393. The next prime is 400843862870401. The reversal of 400843862870400 is 4078268348004.

It is a happy number.

400843862870400 is a `hidden beast` number, since 4 + 0 + 0 + 8 + 4 + 3 + 8 + 628 + 7 + 0 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400843862870401) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 540234064 + ... + 540975536.

Almost surely, 2^{400843862870400} is an apocalyptic number.

400843862870400 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 400843862870400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733606812565200).

400843862870400 is an abundant number, since it is smaller than the sum of its proper divisors (1066369762260000).

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

400843862870400 is a wasteful number, since it uses less digits than its factorization.

400843862870400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 747763 (or 747740 counting only the distinct ones).

The product of its (nonzero) digits is 8257536, while the sum is 54.

The spelling of 400843862870400 in words is "four hundred trillion, eight hundred forty-three billion, eight hundred sixty-two million, eight hundred seventy thousand, four hundred".