42355533555324 has 384 divisors, whose sum is σ = 125420803522560. Its totient is φ = 12235896288000.

The previous prime is 42355533555319. The next prime is 42355533555367.

It is a happy number.

42355533555324 is a `hidden beast` number, since 4 + 2 + 3 + 5 + 5 + 53 + 3 + 55 + 532 + 4 = 666.

42355533555324 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 11626551447 + ... + 11626555089.

It is an arithmetic number, because the mean of its divisors is an integer number (326616675840).

Almost surely, 2^{42355533555324} is an apocalyptic number.

42355533555324 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 42355533555324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62710401761280).

42355533555324 is an abundant number, since it is smaller than the sum of its proper divisors (83065269967236).

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

42355533555324 is a wasteful number, since it uses less digits than its factorization.

42355533555324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4998 (or 4990 counting only the distinct ones).

The product of its digits is 81000000, while the sum is 54.

The spelling of 42355533555324 in words is "forty-two trillion, three hundred fifty-five billion, five hundred thirty-three million, five hundred fifty-five thousand, three hundred twenty-four".