13405501451034 has 288 divisors, whose sum is σ = 38254807858176. Its totient is φ = 3479147290080.

The previous prime is 13405501451033. The next prime is 13405501451081. The reversal of 13405501451034 is 43015410550431.

13405501451034 is a `hidden beast` number, since 1 + 3 + 4 + 0 + 5 + 501 + 45 + 103 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 13405501451034.

It is not an unprimeable number, because it can be changed into a prime (13405501451033) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 336067039 + ... + 336106925.

It is an arithmetic number, because the mean of its divisors is an integer number (132829193952).

Almost surely, 2^{13405501451034} is an apocalyptic number.

13405501451034 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13405501451034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19127403929088).

13405501451034 is an abundant number, since it is smaller than the sum of its proper divisors (24849306407142).

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

13405501451034 is a wasteful number, since it uses less digits than its factorization.

13405501451034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41212 (or 41193 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 13405501451034 in words is "thirteen trillion, four hundred five billion, five hundred one million, four hundred fifty-one thousand, thirty-four".