1480785546240 has 4224 divisors, whose sum is σ = 7570774149120. Its totient is φ = 267544166400.

The previous prime is 1480785546221. The next prime is 1480785546257. The reversal of 1480785546240 is 426455870841.

1480785546240 is a `hidden beast` number, since 1 + 4 + 8 + 0 + 7 + 8 + 5 + 5 + 4 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4224).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 36116720620 + ... + 36116720660.

Almost surely, 2^{1480785546240} is an apocalyptic number.

1480785546240 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 1480785546240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3785387074560).

1480785546240 is an abundant number, since it is smaller than the sum of its proper divisors (6089988602880).

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

1480785546240 is a wasteful number, since it uses less digits than its factorization.

1480785546240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 8601600, while the sum is 54.

The spelling of 1480785546240 in words is "one trillion, four hundred eighty billion, seven hundred eighty-five million, five hundred forty-six thousand, two hundred forty".