42702926112000 has 3456 divisors, whose sum is σ = 204353764392960. Its totient is φ = 8680089600000.

The previous prime is 42702926111977. The next prime is 42702926112083. The reversal of 42702926112000 is 21162920724.

42702926112000 is a `hidden beast` number, since 4 + 270 + 2 + 9 + 261 + 120 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 21887711025 + ... + 21887712975.

It is an arithmetic number, because the mean of its divisors is an integer number (59130140160).

Almost surely, 2^{42702926112000} is an apocalyptic number.

42702926112000 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 42702926112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102176882196480).

42702926112000 is an abundant number, since it is smaller than the sum of its proper divisors (161650838280960).

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

42702926112000 is a wasteful number, since it uses less digits than its factorization.

42702926112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2063 (or 2026 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 42702926112000 in words is "forty-two trillion, seven hundred two billion, nine hundred twenty-six million, one hundred twelve thousand".