400344114003400 has 48 divisors (see below), whose sum is σ = 1063771502927040. Its totient is φ = 137260839086400.

The previous prime is 400344114003329. The next prime is 400344114003401. The reversal of 400344114003400 is 4300411443004.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (400344114003401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 142980039316 + ... + 142980042115.

It is an arithmetic number, because the mean of its divisors is an integer number (22161906310980).

Almost surely, 2^{400344114003400} is an apocalyptic number.

400344114003400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

400344114003400 is an abundant number, since it is smaller than the sum of its proper divisors (663427388923640).

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

400344114003400 is a wasteful number, since it uses less digits than its factorization.

400344114003400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285960081454 (or 285960081445 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 400344114003400 its reverse (4300411443004), we get a palindrome (404644525446404).

The spelling of 400344114003400 in words is "four hundred trillion, three hundred forty-four billion, one hundred fourteen million, three thousand, four hundred".