1480567550400 has 672 divisors, whose sum is σ = 5647997522880. Its totient is φ = 376877629440.

The previous prime is 1480567550387. The next prime is 1480567550401. The reversal of 1480567550400 is 40557650841.

1480567550400 is a `hidden beast` number, since 1 + 4 + 8 + 0 + 56 + 7 + 550 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1480567550401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 84706462 + ... + 84723938.

Almost surely, 2^{1480567550400} is an apocalyptic number.

1480567550400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1480567550400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2823998761440).

1480567550400 is an abundant number, since it is smaller than the sum of its proper divisors (4167429972480).

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

1480567550400 is a wasteful number, since it uses less digits than its factorization.

1480567550400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17598 (or 17577 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

The spelling of 1480567550400 in words is "one trillion, four hundred eighty billion, five hundred sixty-seven million, five hundred fifty thousand, four hundred".