400784538000 has 960 divisors, whose sum is σ = 1643354818560. Its totient is φ = 81634176000.

The previous prime is 400784537987. The next prime is 400784538001. The reversal of 400784538000 is 835487004.

It is a self number, because there is not a number n which added to its sum of digits gives 400784538000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400784538001) 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 191 ways as a sum of consecutive naturals, for example, 2883341931 + ... + 2883342069.

It is an arithmetic number, because the mean of its divisors is an integer number (1711827936).

Almost surely, 2^400784538000 is an apocalyptic number.

400784538000 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 400784538000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (821677409280).

400784538000 is an abundant number, since it is smaller than the sum of its proper divisors (1242570280560).

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

400784538000 is a wasteful number, since it uses less digits than its factorization.

400784538000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 39.

The spelling of 400784538000 in words is "four hundred billion, seven hundred eighty-four million, five hundred thirty-eight thousand".