1400434004000 has 96 divisors (see below), whose sum is σ = 3441304666800. Its totient is φ = 560102246400.

The previous prime is 1400434003987. The next prime is 1400434004009. The reversal of 1400434004000 is 4004340041.

It can be written as a sum of positive squares in 8 ways, for example, as 88392046864 + 1312041957136 = 297308^2 + 1145444^2 .

It is a super-2 number, since 2×1400434004000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (1400434004009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40658786 + ... + 40693214.

Almost surely, 2^{1400434004000} is an apocalyptic number.

1400434004000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1400434004000 is an abundant number, since it is smaller than the sum of its proper divisors (2040870662800).

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

1400434004000 is a wasteful number, since it uses less digits than its factorization.

1400434004000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44623 (or 44605 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 1400434004000 its reverse (4004340041), we get a palindrome (1404438344041).

The spelling of 1400434004000 in words is "one trillion, four hundred billion, four hundred thirty-four million, four thousand".