1480947737040 has 240 divisors, whose sum is σ = 5084299584000. Its totient is φ = 386139138048.

The previous prime is 1480947737011. The next prime is 1480947737047. The reversal of 1480947737040 is 407377490841.

1480947737040 is a `hidden beast` number, since 1 + 4 + 80 + 94 + 77 + 370 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1480947737047) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35477301 + ... + 35519019.

It is an arithmetic number, because the mean of its divisors is an integer number (21184581600).

Almost surely, 2^{1480947737040} is an apocalyptic number.

1480947737040 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 1480947737040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2542149792000).

1480947737040 is an abundant number, since it is smaller than the sum of its proper divisors (3603351846960).

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

1480947737040 is a wasteful number, since it uses less digits than its factorization.

1480947737040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42834 (or 42825 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 54.

The spelling of 1480947737040 in words is "one trillion, four hundred eighty billion, nine hundred forty-seven million, seven hundred thirty-seven thousand, forty".