49418100950400 has 4608 divisors, whose sum is σ = 245462589388800. Its totient is φ = 9435948318720.

The previous prime is 49418100950389. The next prime is 49418100950411. The reversal of 49418100950400 is 405900181494.

It is a happy number.

49418100950400 is a `hidden beast` number, since 4 + 9 + 418 + 100 + 95 + 0 + 40 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (49418100950389) and next prime (49418100950411).

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

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, 65281506822 + ... + 65281507578.

It is an arithmetic number, because the mean of its divisors is an integer number (53268791100).

Almost surely, 2^{49418100950400} is an apocalyptic number.

49418100950400 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 49418100950400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122731294694400).

49418100950400 is an abundant number, since it is smaller than the sum of its proper divisors (196044488438400).

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

49418100950400 is a wasteful number, since it uses less digits than its factorization.

49418100950400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 871 (or 829 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 49418100950400 in words is "forty-nine trillion, four hundred eighteen billion, one hundred million, nine hundred fifty thousand, four hundred".