42149515396560 has 320 divisors, whose sum is σ = 153520161580800. Its totient is φ = 9431236362240.

The previous prime is 42149515396507. The next prime is 42149515396609. The reversal of 42149515396560 is 6569351594124.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 42149515396494 and 42149515396503.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 447794622 + ... + 447888738.

It is an arithmetic number, because the mean of its divisors is an integer number (479750504940).

Almost surely, 2^{42149515396560} is an apocalyptic number.

42149515396560 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 42149515396560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76760080790400).

42149515396560 is an abundant number, since it is smaller than the sum of its proper divisors (111370646184240).

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

42149515396560 is a wasteful number, since it uses less digits than its factorization.

42149515396560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107206 (or 107200 counting only the distinct ones).

The product of its (nonzero) digits is 34992000, while the sum is 60.

The spelling of 42149515396560 in words is "forty-two trillion, one hundred forty-nine billion, five hundred fifteen million, three hundred ninety-six thousand, five hundred sixty".