49167302400 has 864 divisors, whose sum is σ = 191612736000. Its totient is φ = 12311101440.

The previous prime is 49167302381. The next prime is 49167302419. The reversal of 49167302400 is 420376194.

49167302400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (49167302381) and next prime (49167302419).

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 353721531 + ... + 353721669.

It is an arithmetic number, because the mean of its divisors is an integer number (221774000).

Almost surely, 2^49167302400 is an apocalyptic number.

49167302400 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 49167302400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95806368000).

49167302400 is an abundant number, since it is smaller than the sum of its proper divisors (142445433600).

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

49167302400 is a wasteful number, since it uses less digits than its factorization.

49167302400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

Adding to 49167302400 its reverse (420376194), we get a palindrome (49587678594).

The spelling of 49167302400 in words is "forty-nine billion, one hundred sixty-seven million, three hundred two thousand, four hundred".