49121276400 has 180 divisors, whose sum is σ = 194816641552. Its totient is φ = 11227714560.

The previous prime is 49121276389. The next prime is 49121276401. The reversal of 49121276400 is 467212194.

It is a happy number.

49121276400 is a `hidden beast` number, since 4 + 9 + 1 + 2 + 1 + 2 + 7 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49121276401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 949429 + ... + 999828.

Almost surely, 2^49121276400 is an apocalyptic number.

49121276400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

49121276400 is an abundant number, since it is smaller than the sum of its proper divisors (145695365152).

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

49121276400 is a wasteful number, since it uses less digits than its factorization.

49121276400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1949288 (or 1949274 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

Adding to 49121276400 its reverse (467212194), we get a palindrome (49588488594).

The spelling of 49121276400 in words is "forty-nine billion, one hundred twenty-one million, two hundred seventy-six thousand, four hundred".