4001415333400 has 24 divisors (see below), whose sum is σ = 9303290650620. Its totient is φ = 1600566133280.

The previous prime is 4001415333379. The next prime is 4001415333403. The reversal of 4001415333400 is 43335141004.

It is a super-2 number, since 2×4001415333400² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4001415333403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10003538134 + ... + 10003538533.

Almost surely, 2^{4001415333400} is an apocalyptic number.

4001415333400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4001415333400 is an abundant number, since it is smaller than the sum of its proper divisors (5301875317220).

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

4001415333400 is a wasteful number, since it uses less digits than its factorization.

4001415333400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20007076683 (or 20007076674 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The spelling of 4001415333400 in words is "four trillion, one billion, four hundred fifteen million, three hundred thirty-three thousand, four hundred".