47443280400 has 540 divisors, whose sum is σ = 180660373504. Its totient is φ = 11515392000.

The previous prime is 47443280389. The next prime is 47443280461. The reversal of 47443280400 is 408234474.

It is a happy number.

It is a super-2 number, since 2×47443280400² (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 an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 32251665 + ... + 32253135.

Almost surely, 2^47443280400 is an apocalyptic number.

47443280400 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 47443280400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90330186752).

47443280400 is an abundant number, since it is smaller than the sum of its proper divisors (133217093104).

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

47443280400 is a wasteful number, since it uses less digits than its factorization.

47443280400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1560 (or 1529 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 36.

The spelling of 47443280400 in words is "forty-seven billion, four hundred forty-three million, two hundred eighty thousand, four hundred".