400034003400 has 120 divisors (see below), whose sum is σ = 1389377414370. Its totient is φ = 106675729920.

The previous prime is 400034003363. The next prime is 400034003419. The reversal of 400034003400 is 4300430004.

400034003400 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 345454764516 + 54579238884 = 587754^2 + 233622^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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 29 ways as a sum of consecutive naturals, for example, 12330529 + ... + 12362928.

Almost surely, 2^400034003400 is an apocalyptic number.

400034003400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

400034003400 is an abundant number, since it is smaller than the sum of its proper divisors (989343410970).

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

400034003400 is a wasteful number, since it uses less digits than its factorization.

400034003400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24693485 (or 24693467 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

Adding to 400034003400 its reverse (4300430004), we get a palindrome (404334433404).

The spelling of 400034003400 in words is "four hundred billion, thirty-four million, three thousand, four hundred".