42946488748800 has 4536 divisors, whose sum is σ = 204406335157248. Its totient is φ = 8734003200000.

The previous prime is 42946488748759. The next prime is 42946488748871. The reversal of 42946488748800 is 884788464924.

It is a happy number.

42946488748800 is a `hidden beast` number, since 4 + 2 + 9 + 4 + 64 + 8 + 87 + 488 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4536).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 503 ways as a sum of consecutive naturals, for example, 171101548675 + ... + 171101548925.

Almost surely, 2^{42946488748800} is an apocalyptic number.

42946488748800 is a gapful number since it is divisible by the number (40) 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 42946488748800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102203167578624).

42946488748800 is an abundant number, since it is smaller than the sum of its proper divisors (161459846408448).

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

42946488748800 is a wasteful number, since it uses less digits than its factorization.

42946488748800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 792723456, while the sum is 72.

The spelling of 42946488748800 in words is "forty-two trillion, nine hundred forty-six billion, four hundred eighty-eight million, seven hundred forty-eight thousand, eight hundred".