49766270400 has 840 divisors, whose sum is σ = 228112173696. Its totient is φ = 10338969600.

The previous prime is 49766270387. The next prime is 49766270413. The reversal of 49766270400 is 407266794.

It is an interprime number because it is at equal distance from previous prime (49766270387) and next prime (49766270413).

It is a tau number, because it is divible by the number of its divisors (840).

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 119 ways as a sum of consecutive naturals, for example, 9976707 + ... + 9981693.

Almost surely, 2^49766270400 is an apocalyptic number.

49766270400 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 49766270400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114056086848).

49766270400 is an abundant number, since it is smaller than the sum of its proper divisors (178345903296).

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

49766270400 is a wasteful number, since it uses less digits than its factorization.

49766270400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5039 (or 5015 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 49766270400 in words is "forty-nine billion, seven hundred sixty-six million, two hundred seventy thousand, four hundred".