46030742415360 has 2688 divisors, whose sum is σ = 186653061504000. Its totient is φ = 10865637457920.

The previous prime is 46030742415347. The next prime is 46030742415373. The reversal of 46030742415360 is 6351424703064.

46030742415360 is a `hidden beast` number, since 4 + 6 + 0 + 3 + 0 + 74 + 2 + 41 + 536 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (46030742415347) and next prime (46030742415373).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 1484862658545 + ... + 1484862658575.

It is an arithmetic number, because the mean of its divisors is an integer number (69439383000).

Almost surely, 2^{46030742415360} is an apocalyptic number.

46030742415360 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 46030742415360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93326530752000).

46030742415360 is an abundant number, since it is smaller than the sum of its proper divisors (140622319088640).

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

46030742415360 is an frugal number, since it uses more digits than its factorization.

46030742415360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The spelling of 46030742415360 in words is "forty-six trillion, thirty billion, seven hundred forty-two million, four hundred fifteen thousand, three hundred sixty".