46798128599040 has 936 divisors, whose sum is σ = 203213287623528. Its totient is φ = 9873866096640.

The previous prime is 46798128599039. The next prime is 46798128599087. The reversal of 46798128599040 is 4099582189764.

46798128599040 is a `hidden beast` number, since 4 + 6 + 7 + 9 + 8 + 1 + 28 + 599 + 0 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9006913327104 + 37791215271936 = 3001152^2 + 6147456^2 .

It is a tau number, because it is divible by the number of its divisors (936).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 46798128599040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 117212550 + ... + 117611130.

It is an arithmetic number, because the mean of its divisors is an integer number (217108213273).

Almost surely, 2^{46798128599040} is an apocalyptic number.

46798128599040 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 46798128599040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101606643811764).

46798128599040 is an abundant number, since it is smaller than the sum of its proper divisors (156415159024488).

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

46798128599040 is a wasteful number, since it uses less digits than its factorization.

46798128599040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398643 (or 398611 counting only the distinct ones).

The product of its (nonzero) digits is 313528320, while the sum is 72.

The spelling of 46798128599040 in words is "forty-six trillion, seven hundred ninety-eight billion, one hundred twenty-eight million, five hundred ninety-nine thousand, forty".