49364346470400 has 1296 divisors, whose sum is σ = 191502319160880. Its totient is φ = 12083370393600.

The previous prime is 49364346470371. The next prime is 49364346470407. The reversal of 49364346470400 is 407464346394.

49364346470400 is a `hidden beast` number, since 4 + 9 + 36 + 43 + 464 + 70 + 40 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49364346470407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 126900633406 + ... + 126900633794.

It is an arithmetic number, because the mean of its divisors is an integer number (147764135155).

Almost surely, 2^{49364346470400} is an apocalyptic number.

49364346470400 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 49364346470400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95751159580440).

49364346470400 is an abundant number, since it is smaller than the sum of its proper divisors (142137972690480).

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

49364346470400 is a wasteful number, since it uses less digits than its factorization.

49364346470400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 783 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 54.

The spelling of 49364346470400 in words is "forty-nine trillion, three hundred sixty-four billion, three hundred forty-six million, four hundred seventy thousand, four hundred".