42611401080 has 384 divisors, whose sum is σ = 152137440000. Its totient is φ = 10696541184.

The previous prime is 42611401073. The next prime is 42611401081. The reversal of 42611401080 is 8010411624.

It is a happy number.

42611401080 is a `hidden beast` number, since 4 + 2 + 611 + 40 + 1 + 0 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42611401081) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33057076 + ... + 33058364.

It is an arithmetic number, because the mean of its divisors is an integer number (396191250).

Almost surely, 2^42611401080 is an apocalyptic number.

42611401080 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 42611401080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76068720000).

42611401080 is an abundant number, since it is smaller than the sum of its proper divisors (109526038920).

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

42611401080 is a wasteful number, since it uses less digits than its factorization.

42611401080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1513 (or 1497 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The spelling of 42611401080 in words is "forty-two billion, six hundred eleven million, four hundred one thousand, eighty".