540974238000 has 1280 divisors, whose sum is σ = 2181676363776. Its totient is φ = 112538419200.

The previous prime is 540974237971. The next prime is 540974238029. The reversal of 540974238000 is 832479045.

It is an interprime number because it is at equal distance from previous prime (540974237971) and next prime (540974238029).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 5055833947 + ... + 5055834053.

Almost surely, 2^540974238000 is an apocalyptic number.

540974238000 is a gapful number since it is divisible by the number (50) 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 540974238000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1090838181888).

540974238000 is an abundant number, since it is smaller than the sum of its proper divisors (1640702125776).

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

540974238000 is a wasteful number, since it uses less digits than its factorization.

540974238000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 311 counting only the distinct ones).

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

The spelling of 540974238000 in words is "five hundred forty billion, nine hundred seventy-four million, two hundred thirty-eight thousand".