46744698227040 has 1152 divisors, whose sum is σ = 191029430592000. Its totient is φ = 10686717296640.

The previous prime is 46744698226991. The next prime is 46744698227081. The reversal of 46744698227040 is 4072289644764.

46744698227040 is a `hidden beast` number, since 4 + 6 + 7 + 446 + 9 + 82 + 2 + 70 + 40 = 666.

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, 533273136 + ... + 533360784.

It is an arithmetic number, because the mean of its divisors is an integer number (165824158500).

Almost surely, 2^{46744698227040} is an apocalyptic number.

46744698227040 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 46744698227040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95514715296000).

46744698227040 is an abundant number, since it is smaller than the sum of its proper divisors (144284732364960).

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

46744698227040 is a wasteful number, since it uses less digits than its factorization.

46744698227040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87762 (or 87742 counting only the distinct ones).

The product of its (nonzero) digits is 130056192, while the sum is 63.

The spelling of 46744698227040 in words is "forty-six trillion, seven hundred forty-four billion, six hundred ninety-eight million, two hundred twenty-seven thousand, forty".