42902295744 has 672 divisors, whose sum is σ = 152643059712. Its totient is φ = 10499328000.

The previous prime is 42902295743. The next prime is 42902295767. The reversal of 42902295744 is 44759220924.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 42902295693 and 42902295702.

It is not an unprimeable number, because it can be changed into a prime (42902295743) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 137949349 + ... + 137949659.

Almost surely, 2^42902295744 is an apocalyptic number.

42902295744 is a gapful number since it is divisible by the number (44) 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 42902295744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76321529856).

42902295744 is an abundant number, since it is smaller than the sum of its proper divisors (109740763968).

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

42902295744 is a wasteful number, since it uses less digits than its factorization.

42902295744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 48.

The spelling of 42902295744 in words is "forty-two billion, nine hundred two million, two hundred ninety-five thousand, seven hundred forty-four".