42814772000 has 1152 divisors, whose sum is σ = 154094234112. Its totient is φ = 11280384000.

The previous prime is 42814771991. The next prime is 42814772027. The reversal of 42814772000 is 27741824.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1157155982 + ... + 1157156018.

It is an arithmetic number, because the mean of its divisors is an integer number (133762356).

Almost surely, 2^42814772000 is an apocalyptic number.

42814772000 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 42814772000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77047117056).

42814772000 is an abundant number, since it is smaller than the sum of its proper divisors (111279462112).

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

42814772000 is a wasteful number, since it uses less digits than its factorization.

42814772000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 35.

The spelling of 42814772000 in words is "forty-two billion, eight hundred fourteen million, seven hundred seventy-two thousand".