41000494550400 has 4608 divisors, whose sum is σ = 198580197196800. Its totient is φ = 8089196544000.

The previous prime is 41000494550383. The next prime is 41000494550417. The reversal of 41000494550400 is 405549400014.

41000494550400 is a `hidden beast` number, since 4 + 10 + 0 + 0 + 4 + 94 + 550 + 4 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (41000494550383) and next prime (41000494550417).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 773594236774 + ... + 773594236826.

It is an arithmetic number, because the mean of its divisors is an integer number (43094660850).

Almost surely, 2^{41000494550400} is an apocalyptic number.

41000494550400 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 41000494550400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99290098598400).

41000494550400 is an abundant number, since it is smaller than the sum of its proper divisors (157579702646400).

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

41000494550400 is a wasteful number, since it uses less digits than its factorization.

41000494550400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 41000494550400 in words is "forty-one trillion, four hundred ninety-four million, five hundred fifty thousand, four hundred".