42152632683840 has 1680 divisors, whose sum is σ = 178355159338752. Its totient is φ = 9256550400000.

The previous prime is 42152632683761. The next prime is 42152632683893. The reversal of 42152632683840 is 4838623625124.

42152632683840 is a `hidden beast` number, since 4 + 2 + 1 + 526 + 32 + 6 + 8 + 3 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

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 239 ways as a sum of consecutive naturals, for example, 26328939040 + ... + 26328940640.

Almost surely, 2^{42152632683840} is an apocalyptic number.

42152632683840 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 42152632683840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89177579669376).

42152632683840 is an abundant number, since it is smaller than the sum of its proper divisors (136202526654912).

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

42152632683840 is a wasteful number, since it uses less digits than its factorization.

42152632683840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1850 (or 1800 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 54.

The spelling of 42152632683840 in words is "forty-two trillion, one hundred fifty-two billion, six hundred thirty-two million, six hundred eighty-three thousand, eight hundred forty".