47420542540800 has 2112 divisors, whose sum is σ = 207146553438720. Its totient is φ = 10609798348800.

The previous prime is 47420542540769. The next prime is 47420542540831. The reversal of 47420542540800 is 804524502474.

47420542540800 is a `hidden beast` number, since 4 + 7 + 4 + 20 + 5 + 4 + 2 + 540 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (47420542540769) and next prime (47420542540831).

It is a tau number, because it is divible by the number of its divisors (2112).

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 191 ways as a sum of consecutive naturals, for example, 8006166639 + ... + 8006172561.

Almost surely, 2^{47420542540800} is an apocalyptic number.

47420542540800 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 47420542540800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103573276719360).

47420542540800 is an abundant number, since it is smaller than the sum of its proper divisors (159726010897920).

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

47420542540800 is a wasteful number, since it uses less digits than its factorization.

47420542540800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5998 (or 5957 counting only the distinct ones).

The product of its (nonzero) digits is 1433600, while the sum is 45.

The spelling of 47420542540800 in words is "forty-seven trillion, four hundred twenty billion, five hundred forty-two million, five hundred forty thousand, eight hundred".