42672312483840 has 2720 divisors, whose sum is σ = 181606273390080. Its totient is φ = 9484822904832.

The previous prime is 42672312483839. The next prime is 42672312483851. The reversal of 42672312483840 is 4838421327624.

42672312483840 is a `hidden beast` number, since 4 + 2 + 6 + 7 + 231 + 24 + 8 + 384 + 0 = 666.

It is a super-2 number, since 2×42672312483840² (a number of 28 digits) contains 22 as substring.

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 159 ways as a sum of consecutive naturals, for example, 150785556339 + ... + 150785556621.

Almost surely, 2^{42672312483840} is an apocalyptic number.

42672312483840 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 42672312483840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90803136695040).

42672312483840 is an abundant number, since it is smaller than the sum of its proper divisors (138933960906240).

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

42672312483840 is a wasteful number, since it uses less digits than its factorization.

42672312483840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 12386304, while the sum is 54.

The spelling of 42672312483840 in words is "forty-two trillion, six hundred seventy-two billion, three hundred twelve million, four hundred eighty-three thousand, eight hundred forty".