1540480627920 has 160 divisors (see below), whose sum is σ = 5143440298752. Its totient is φ = 379150626816.

The previous prime is 1540480627841. The next prime is 1540480627949. The reversal of 1540480627920 is 297260840451.

It is a Cunningham number, because it is equal to 1241161²-1.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1540480627920.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32246292 + ... + 32294028.

Almost surely, 2^{1540480627920} is an apocalyptic number.

1540480627920 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 1540480627920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2571720149376).

1540480627920 is an abundant number, since it is smaller than the sum of its proper divisors (3602959670832).

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

1540480627920 is a wasteful number, since it uses less digits than its factorization.

1540480627920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58109 (or 58103 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The spelling of 1540480627920 in words is "one trillion, five hundred forty billion, four hundred eighty million, six hundred twenty-seven thousand, nine hundred twenty".