41036094950400 has 1584 divisors, whose sum is σ = 168991843258368. Its totient is φ = 9421553664000.

The previous prime is 41036094950399. The next prime is 41036094950407. The reversal of 41036094950400 is 405949063014.

41036094950400 is a `hidden beast` number, since 4 + 10 + 3 + 60 + 94 + 95 + 0 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1584).

It is a super-2 number, since 2×41036094950400² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (41036094950407) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3692615244 + ... + 3692626356.

Almost surely, 2^{41036094950400} is an apocalyptic number.

41036094950400 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 41036094950400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84495921629184).

41036094950400 is an abundant number, since it is smaller than the sum of its proper divisors (127955748307968).

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

41036094950400 is a wasteful number, since it uses less digits than its factorization.

41036094950400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11238 (or 11212 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 41036094950400 in words is "forty-one trillion, thirty-six billion, ninety-four million, nine hundred fifty thousand, four hundred".