429151260086640 has 4800 divisors, whose sum is σ = 1953182349043200. Its totient is φ = 86491009253376.

The previous prime is 429151260086623. The next prime is 429151260086663. The reversal of 429151260086640 is 46680062151924.

It is a happy number.

429151260086640 is a `hidden beast` number, since 4 + 2 + 9 + 1 + 512 + 6 + 0 + 0 + 86 + 6 + 40 = 666.

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 959 ways as a sum of consecutive naturals, for example, 2223581658384 + ... + 2223581658576.

It is an arithmetic number, because the mean of its divisors is an integer number (406912989384).

Almost surely, 2^{429151260086640} is an apocalyptic number.

429151260086640 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 429151260086640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (976591174521600).

429151260086640 is an abundant number, since it is smaller than the sum of its proper divisors (1524031088956560).

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

429151260086640 is a wasteful number, since it uses less digits than its factorization.

429151260086640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 429151260086640 in words is "four hundred twenty-nine trillion, one hundred fifty-one billion, two hundred sixty million, eighty-six thousand, six hundred forty".