41870619786240 has 1056 divisors, whose sum is σ = 169832549892096. Its totient is φ = 9339963310080.

The previous prime is 41870619786239. The next prime is 41870619786241. The reversal of 41870619786240 is 4268791607814.

41870619786240 is a `hidden beast` number, since 4 + 1 + 8 + 7 + 0 + 619 + 7 + 8 + 6 + 2 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (41870619786239) and next prime (41870619786241).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41870619786241) 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, 3265268469 + ... + 3265281291.

Almost surely, 2^{41870619786240} is an apocalyptic number.

41870619786240 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 41870619786240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84916274946048).

41870619786240 is an abundant number, since it is smaller than the sum of its proper divisors (127961930105856).

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

41870619786240 is a wasteful number, since it uses less digits than its factorization.

41870619786240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13105 (or 13084 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 63.

The spelling of 41870619786240 in words is "forty-one trillion, eight hundred seventy billion, six hundred nineteen million, seven hundred eighty-six thousand, two hundred forty".