400356000000 has 1008 divisors, whose sum is σ = 1619210523840. Its totient is φ = 96768000000.

The previous prime is 400355999969. The next prime is 400356000013. The reversal of 400356000000 is 653004.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1187999832 + ... + 1188000168.

Almost surely, 2^400356000000 is an apocalyptic number.

400356000000 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 400356000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (809605261920).

400356000000 is an abundant number, since it is smaller than the sum of its proper divisors (1218854523840).

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

400356000000 is an frugal number, since it uses more digits than its factorization.

400356000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

Adding to 400356000000 its reverse (653004), we get a palindrome (400356653004).

The spelling of 400356000000 in words is "four hundred billion, three hundred fifty-six million", and thus it is an aban number.