42101473994496 has 288 divisors, whose sum is σ = 143407783034880. Its totient is φ = 11934274351104.

The previous prime is 42101473994431. The next prime is 42101473994501. The reversal of 42101473994496 is 69449937410124.

42101473994496 is a `hidden beast` number, since 4 + 2 + 10 + 1 + 47 + 3 + 9 + 94 + 496 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×42101473994496² (a number of 28 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2718970 + ... + 9570566.

Almost surely, 2^{42101473994496} 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 42101473994496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71703891517440).

42101473994496 is an abundant number, since it is smaller than the sum of its proper divisors (101306309040384).

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

42101473994496 is a wasteful number, since it uses less digits than its factorization.

42101473994496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6851756 (or 6851736 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 63.

The spelling of 42101473994496 in words is "forty-two trillion, one hundred one billion, four hundred seventy-three million, nine hundred ninety-four thousand, four hundred ninety-six".