42760146240 has 672 divisors, whose sum is σ = 184607265024. Its totient is φ = 9196830720.

The previous prime is 42760146227. The next prime is 42760146263. The reversal of 42760146240 is 4264106724.

42760146240 is a `hidden beast` number, since 4 + 2 + 7 + 601 + 4 + 6 + 2 + 40 = 666.

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

It is a super-2 number, since 2×42760146240² (a number of 22 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 42760146195 and 42760146204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9251130 + ... + 9255750.

It is an arithmetic number, because the mean of its divisors is an integer number (274713192).

Almost surely, 2^42760146240 is an apocalyptic number.

42760146240 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 42760146240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92303632512).

42760146240 is an abundant number, since it is smaller than the sum of its proper divisors (141847118784).

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

42760146240 is a wasteful number, since it uses less digits than its factorization.

42760146240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4677 (or 4655 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 42760146240 in words is "forty-two billion, seven hundred sixty million, one hundred forty-six thousand, two hundred forty".