1464049180400 has 30 divisors (see below), whose sum is σ = 3517378156872. Its totient is φ = 585619672000.

The previous prime is 1464049180283. The next prime is 1464049180423. The reversal of 1464049180400 is 40819404641.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1830061076 + ... + 1830061875.

Almost surely, 2^{1464049180400} is an apocalyptic number.

1464049180400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1464049180400 is an abundant number, since it is smaller than the sum of its proper divisors (2053328976472).

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

1464049180400 is a wasteful number, since it uses less digits than its factorization.

1464049180400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3660122969 (or 3660122958 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 41.

Adding to 1464049180400 its sum of digits (41), we get a square (1464049180441 = 1209979²).

The spelling of 1464049180400 in words is "one trillion, four hundred sixty-four billion, forty-nine million, one hundred eighty thousand, four hundred".