49177466400 has 288 divisors, whose sum is σ = 164574341568. Its totient is φ = 12747571200.

The previous prime is 49177466383. The next prime is 49177466407. The reversal of 49177466400 is 466477194.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 49177466400.

It is not an unprimeable number, because it can be changed into a prime (49177466407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33160059 + ... + 33161541.

It is an arithmetic number, because the mean of its divisors is an integer number (571438686).

Almost surely, 2^49177466400 is an apocalyptic number.

49177466400 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 49177466400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82287170784).

49177466400 is an abundant number, since it is smaller than the sum of its proper divisors (115396875168).

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

49177466400 is a wasteful number, since it uses less digits than its factorization.

49177466400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1884 (or 1871 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 48.

The spelling of 49177466400 in words is "forty-nine billion, one hundred seventy-seven million, four hundred sixty-six thousand, four hundred".