41785980401088 has 1680 divisors, whose sum is σ = 161362256977152. Its totient is φ = 10385849548800.

The previous prime is 41785980400979. The next prime is 41785980401107. The reversal of 41785980401088 is 88010408958714.

41785980401088 is a `hidden beast` number, since 4 + 1 + 78 + 5 + 9 + 80 + 401 + 0 + 88 = 666.

It is a super-2 number, since 2×41785980401088² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 37209242895 + ... + 37209244017.

Almost surely, 2^{41785980401088} is an apocalyptic number.

41785980401088 is a gapful number since it is divisible by the number (48) 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 41785980401088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80681128488576).

41785980401088 is an abundant number, since it is smaller than the sum of its proper divisors (119576276576064).

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

41785980401088 is a wasteful number, since it uses less digits than its factorization.

41785980401088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1324 (or 1274 counting only the distinct ones).

The product of its (nonzero) digits is 20643840, while the sum is 63.

The spelling of 41785980401088 in words is "forty-one trillion, seven hundred eighty-five billion, nine hundred eighty million, four hundred one thousand, eighty-eight".