41954700384 has 288 divisors, whose sum is σ = 136711411200. Its totient is φ = 12589074432.

The previous prime is 41954700371. The next prime is 41954700397. The reversal of 41954700384 is 48300745914.

It is an interprime number because it is at equal distance from previous prime (41954700371) and next prime (41954700397).

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×41954700384² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

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, 3033517 + ... + 3047315.

It is an arithmetic number, because the mean of its divisors is an integer number (474692400).

Almost surely, 2^41954700384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41954700384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68355705600).

41954700384 is an abundant number, since it is smaller than the sum of its proper divisors (94756710816).

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

41954700384 is a wasteful number, since it uses less digits than its factorization.

41954700384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13864 (or 13844 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 41954700384 in words is "forty-one billion, nine hundred fifty-four million, seven hundred thousand, three hundred eighty-four".