626401434129408 has 1408 divisors, whose sum is σ = 2197240980541440. Its totient is φ = 172555954421760.

The previous prime is 626401434129269. The next prime is 626401434129461. The reversal of 626401434129408 is 804921434104626.

626401434129408 is a `hidden beast` number, since 6 + 2 + 6 + 4 + 0 + 1 + 4 + 341 + 294 + 0 + 8 = 666.

626401434129408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 573102866910 + ... + 573102868002.

Almost surely, 2^{626401434129408} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 626401434129408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1098620490270720).

626401434129408 is an abundant number, since it is smaller than the sum of its proper divisors (1570839546412032).

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

626401434129408 is a wasteful number, since it uses less digits than its factorization.

626401434129408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1820 (or 1796 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 626401434129408 in words is "six hundred twenty-six trillion, four hundred one billion, four hundred thirty-four million, one hundred twenty-nine thousand, four hundred eight".