42456780000 has 180 divisors, whose sum is σ = 150872930208. Its totient is φ = 11321760000.

The previous prime is 42456779993. The next prime is 42456780053. The reversal of 42456780000 is 8765424.

It is a tau number, because it is divible by the number of its divisors (180).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 62065 + ... + 297935.

Almost surely, 2^42456780000 is an apocalyptic number.

42456780000 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 42456780000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75436465104).

42456780000 is an abundant number, since it is smaller than the sum of its proper divisors (108416150208).

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

42456780000 is a wasteful number, since it uses less digits than its factorization.

42456780000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235907 (or 235881 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 42456780000 in words is "forty-two billion, four hundred fifty-six million, seven hundred eighty thousand".