1400413433120 has 96 divisors (see below), whose sum is σ = 3563392014000. Its totient is φ = 517015203840.

The previous prime is 1400413433113. The next prime is 1400413433203. The reversal of 1400413433120 is 213343140041.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 212775548176 + 1187637884944 = 461276^2 + 1089788^2 .

It is a super-2 number, since 2×1400413433120² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 1400413433120.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20243390 + ... + 20312450.

Almost surely, 2^{1400413433120} is an apocalyptic number.

1400413433120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1400413433120 is an abundant number, since it is smaller than the sum of its proper divisors (2162978580880).

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

1400413433120 is a wasteful number, since it uses less digits than its factorization.

1400413433120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78838 (or 78830 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 1400413433120 its reverse (213343140041), we get a palindrome (1613756573161).

The spelling of 1400413433120 in words is "one trillion, four hundred billion, four hundred thirteen million, four hundred thirty-three thousand, one hundred twenty".