47238101951040 has 6048 divisors, whose sum is σ = 244150297372800. Its totient is φ = 8583778344960.

The previous prime is 47238101951023. The next prime is 47238101951057. The reversal of 47238101951040 is 4015910183274.

47238101951040 is a `hidden beast` number, since 4 + 7 + 2 + 3 + 81 + 0 + 19 + 510 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (47238101951023) and next prime (47238101951057).

It is a tau number, because it is divible by the number of its divisors (6048).

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 863 ways as a sum of consecutive naturals, for example, 2486215892151 + ... + 2486215892169.

It is an arithmetic number, because the mean of its divisors is an integer number (40368766100).

Almost surely, 2^{47238101951040} is an apocalyptic number.

47238101951040 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 47238101951040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122075148686400).

47238101951040 is an abundant number, since it is smaller than the sum of its proper divisors (196912195421760).

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

47238101951040 is an equidigital number, since it uses as much as digits as its factorization.

47238101951040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 47238101951040 in words is "forty-seven trillion, two hundred thirty-eight billion, one hundred one million, nine hundred fifty-one thousand, forty".