40133320311400 has 24 divisors (see below), whose sum is σ = 93309969724470. Its totient is φ = 16053328124480.

The previous prime is 40133320311377. The next prime is 40133320311419. The reversal of 40133320311400 is 411302333104.

It can be written as a sum of positive squares in 3 ways, for example, as 18367344489796 + 21765975821604 = 4285714^2 + 4665402^2 .

It is a super-2 number, since 2×40133320311400² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 100333300579 + ... + 100333300978.

Almost surely, 2^{40133320311400} is an apocalyptic number.

40133320311400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40133320311400 is an abundant number, since it is smaller than the sum of its proper divisors (53176649413070).

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

40133320311400 is a wasteful number, since it uses less digits than its factorization.

40133320311400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200666601573 (or 200666601564 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 40133320311400 its reverse (411302333104), we get a palindrome (40544622644504).

The spelling of 40133320311400 in words is "forty trillion, one hundred thirty-three billion, three hundred twenty million, three hundred eleven thousand, four hundred".