1506120650400 has 72 divisors (see below), whose sum is σ = 4902422724864. Its totient is φ = 401632172800.

The previous prime is 1506120650381. The next prime is 1506120650417. The reversal of 1506120650400 is 40560216051.

It is a super-2 number, since 2×1506120650400² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 313772736 + ... + 313777535.

It is an arithmetic number, because the mean of its divisors is an integer number (68089204512).

Almost surely, 2^{1506120650400} is an apocalyptic number.

1506120650400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1506120650400 is an abundant number, since it is smaller than the sum of its proper divisors (3396302074464).

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

1506120650400 is a wasteful number, since it uses less digits than its factorization.

1506120650400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627550294 (or 627550281 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

Adding to 1506120650400 its reverse (40560216051), we get a palindrome (1546680866451).

The spelling of 1506120650400 in words is "one trillion, five hundred six billion, one hundred twenty million, six hundred fifty thousand, four hundred".