400721018880 has 1536 divisors, whose sum is σ = 1730576977920. Its totient is φ = 77007421440.

The previous prime is 400721018869. The next prime is 400721018927. The reversal of 400721018880 is 88810127004.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12926484465 + ... + 12926484495.

It is an arithmetic number, because the mean of its divisors is an integer number (1126677720).

Almost surely, 2^400721018880 is an apocalyptic number.

400721018880 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 400721018880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (865288488960).

400721018880 is an abundant number, since it is smaller than the sum of its proper divisors (1329855959040).

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

400721018880 is a wasteful number, since it uses less digits than its factorization.

400721018880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 39.

The spelling of 400721018880 in words is "four hundred billion, seven hundred twenty-one million, eighteen thousand, eight hundred eighty".