42721460401536 has 640 divisors, whose sum is σ = 150096982210560. Its totient is φ = 11803813724160.

The previous prime is 42721460401523. The next prime is 42721460401577. The reversal of 42721460401536 is 63510406412724.

42721460401536 is a `hidden beast` number, since 4 + 2 + 7 + 2 + 1 + 4 + 604 + 0 + 1 + 5 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 42721460401491 and 42721460401500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3494020255 + ... + 3494032481.

It is an arithmetic number, because the mean of its divisors is an integer number (234526534704).

Almost surely, 2^{42721460401536} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42721460401536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75048491105280).

42721460401536 is an abundant number, since it is smaller than the sum of its proper divisors (107375521809024).

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

42721460401536 is a wasteful number, since it uses less digits than its factorization.

42721460401536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13844 (or 13823 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 42721460401536 in words is "forty-two trillion, seven hundred twenty-one billion, four hundred sixty million, four hundred one thousand, five hundred thirty-six".