42554333345524 has 384 divisors, whose sum is σ = 102315063997440. Its totient is φ = 14952757248000.

The previous prime is 42554333345483. The next prime is 42554333345561.

It is a happy number.

42554333345524 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 26382102942 + ... + 26382104554.

It is an arithmetic number, because the mean of its divisors is an integer number (266445479160).

Almost surely, 2^{42554333345524} is an apocalyptic number.

42554333345524 is a gapful number since it is divisible by the number (44) 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 42554333345524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51157531998720).

42554333345524 is an abundant number, since it is smaller than the sum of its proper divisors (59760730651916).

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

42554333345524 is a wasteful number, since it uses less digits than its factorization.

42554333345524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2571 (or 2569 counting only the distinct ones).

The product of its digits is 51840000, while the sum is 52.

The spelling of 42554333345524 in words is "forty-two trillion, five hundred fifty-four billion, three hundred thirty-three million, three hundred forty-five thousand, five hundred twenty-four".