1540790246400 has 264 divisors, whose sum is σ = 5200752963840. Its totient is φ = 402134384640.

The previous prime is 1540790246389. The next prime is 1540790246407. The reversal of 1540790246400 is 46420970451.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1540790246407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3396171 + ... + 3823029.

Almost surely, 2^{1540790246400} is an apocalyptic number.

1540790246400 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 1540790246400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2600376481920).

1540790246400 is an abundant number, since it is smaller than the sum of its proper divisors (3659962717440).

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

1540790246400 is a wasteful number, since it uses less digits than its factorization.

1540790246400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426939 (or 426916 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 1540790246400 in words is "one trillion, five hundred forty billion, seven hundred ninety million, two hundred forty-six thousand, four hundred".