1540990640640 has 480 divisors, whose sum is σ = 5699979552960. Its totient is φ = 353907671040.

The previous prime is 1540990640597. The next prime is 1540990640653. The reversal of 1540990640640 is 460460990451.

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

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 1540990640640.

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, 17612682 + ... + 17699958.

It is an arithmetic number, because the mean of its divisors is an integer number (11874957402).

Almost surely, 2^{1540990640640} is an apocalyptic number.

1540990640640 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 1540990640640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2849989776480).

1540990640640 is an abundant number, since it is smaller than the sum of its proper divisors (4158988912320).

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

1540990640640 is a wasteful number, since it uses less digits than its factorization.

1540990640640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87344 (or 87317 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 48.

The spelling of 1540990640640 in words is "one trillion, five hundred forty billion, nine hundred ninety million, six hundred forty thousand, six hundred forty".