46390497040080 has 400 divisors, whose sum is σ = 163194859027200. Its totient is φ = 12211640663040.

The previous prime is 46390497040073. The next prime is 46390497040103. The reversal of 46390497040080 is 8004079409364.

It is a happy number.

46390497040080 is a `hidden beast` number, since 4 + 6 + 3 + 90 + 4 + 9 + 70 + 400 + 80 = 666.

It is a super-2 number, since 2×46390497040080² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 46390497039999 and 46390497040026.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4822793511 + ... + 4822803129.

It is an arithmetic number, because the mean of its divisors is an integer number (407987147568).

Almost surely, 2^{46390497040080} is an apocalyptic number.

46390497040080 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 46390497040080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81597429513600).

46390497040080 is an abundant number, since it is smaller than the sum of its proper divisors (116804361987120).

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

46390497040080 is a wasteful number, since it uses less digits than its factorization.

46390497040080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19144 (or 19129 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 46390497040080 in words is "forty-six trillion, three hundred ninety billion, four hundred ninety-seven million, forty thousand, eighty".