1540627683840 has 480 divisors, whose sum is σ = 6102777897216. Its totient is φ = 351859507200.

The previous prime is 1540627683839. The next prime is 1540627683869. The reversal of 1540627683840 is 483867260451.

It is a happy number.

1540627683840 is a `hidden beast` number, since 1 + 5 + 4 + 0 + 627 + 6 + 8 + 3 + 8 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 250464765 + ... + 250470915.

Almost surely, 2^{1540627683840} is an apocalyptic number.

1540627683840 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 1540627683840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3051388948608).

1540627683840 is an abundant number, since it is smaller than the sum of its proper divisors (4562150213376).

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

1540627683840 is a wasteful number, since it uses less digits than its factorization.

1540627683840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7740 (or 7721 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 1540627683840 in words is "one trillion, five hundred forty billion, six hundred twenty-seven million, six hundred eighty-three thousand, eight hundred forty".