400781250000 has 480 divisors, whose sum is σ = 1513671868800. Its totient is φ = 101250000000.

The previous prime is 400781249983. The next prime is 400781250007. The reversal of 400781250000 is 52187004.

400781250000 is a `hidden beast` number, since 400 + 7 + 8 + 1 + 250 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×400781250000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400781250007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21093749991 + ... + 21093750009.

It is an arithmetic number, because the mean of its divisors is an integer number (3153483060).

Almost surely, 2^400781250000 is an apocalyptic number.

400781250000 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 400781250000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756835934400).

400781250000 is an abundant number, since it is smaller than the sum of its proper divisors (1112890618800).

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

400781250000 is an frugal number, since it uses more digits than its factorization.

400781250000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The spelling of 400781250000 in words is "four hundred billion, seven hundred eighty-one million, two hundred fifty thousand".