42720156864000 has 2400 divisors, whose sum is σ = 201952479437280. Its totient is φ = 8876335104000.

The previous prime is 42720156863981. The next prime is 42720156864017. The reversal of 42720156864000 is 46865102724.

42720156864000 is a `hidden beast` number, since 4 + 2 + 7 + 20 + 1 + 568 + 64 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2400).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2794168356 + ... + 2794183644.

Almost surely, 2^{42720156864000} is an apocalyptic number.

42720156864000 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 42720156864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100976239718640).

42720156864000 is an abundant number, since it is smaller than the sum of its proper divisors (159232322573280).

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

42720156864000 is a wasteful number, since it uses less digits than its factorization.

42720156864000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15359 (or 15317 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 42720156864000 in words is "forty-two trillion, seven hundred twenty billion, one hundred fifty-six million, eight hundred sixty-four thousand".