47900840400 has 840 divisors, whose sum is σ = 203822779904. Its totient is φ = 10581580800.

The previous prime is 47900840389. The next prime is 47900840413. The reversal of 47900840400 is 404800974.

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

It is a super-2 number, since 2×47900840400² (a number of 22 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 63276822 + ... + 63277578.

Almost surely, 2^47900840400 is an apocalyptic number.

47900840400 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 47900840400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101911389952).

47900840400 is an abundant number, since it is smaller than the sum of its proper divisors (155921939504).

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

47900840400 is a wasteful number, since it uses less digits than its factorization.

47900840400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 831 (or 805 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 47900840400 in words is "forty-seven billion, nine hundred million, eight hundred forty thousand, four hundred".