1540464046380 has 288 divisors, whose sum is σ = 5818350451200. Its totient is φ = 331393711104.

The previous prime is 1540464046327. The next prime is 1540464046469. The reversal of 1540464046380 is 836404640451.

1540464046380 is a `hidden beast` number, since 1 + 5 + 4 + 0 + 4 + 6 + 4 + 0 + 4 + 638 + 0 = 666.

It is a super-2 number, since 2×1540464046380² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 387351 + ... + 1797489.

Almost surely, 2^{1540464046380} is an apocalyptic number.

1540464046380 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 1540464046380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2909175225600).

1540464046380 is an abundant number, since it is smaller than the sum of its proper divisors (4277886404820).

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

1540464046380 is a wasteful number, since it uses less digits than its factorization.

1540464046380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1410198 (or 1410173 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 1540464046380 in words is "one trillion, five hundred forty billion, four hundred sixty-four million, forty-six thousand, three hundred eighty".