41374455349248 has 720 divisors, whose sum is σ = 139427873544960. Its totient is φ = 11577825165312.

The previous prime is 41374455349231. The next prime is 41374455349303. The reversal of 41374455349248 is 84294355447314.

41374455349248 is a `hidden beast` number, since 4 + 1 + 3 + 7 + 4 + 4 + 5 + 534 + 92 + 4 + 8 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18696092590 + ... + 18696094802.

It is an arithmetic number, because the mean of its divisors is an integer number (193649824368).

Almost surely, 2^{41374455349248} is an apocalyptic number.

41374455349248 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 41374455349248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69713936772480).

41374455349248 is an abundant number, since it is smaller than the sum of its proper divisors (98053418195712).

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

41374455349248 is a wasteful number, since it uses less digits than its factorization.

41374455349248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2620 (or 2591 counting only the distinct ones).

The product of its digits is 232243200, while the sum is 63.

The spelling of 41374455349248 in words is "forty-one trillion, three hundred seventy-four billion, four hundred fifty-five million, three hundred forty-nine thousand, two hundred forty-eight".