1429411868640 has 768 divisors, whose sum is σ = 5863490519040. Its totient is φ = 318422845440.

The previous prime is 1429411868627. The next prime is 1429411868653. The reversal of 1429411868640 is 468681149241.

1429411868640 is a `hidden beast` number, since 1 + 429 + 4 + 118 + 68 + 6 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (1429411868627) and next prime (1429411868653).

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, 789293335 + ... + 789295145.

It is an arithmetic number, because the mean of its divisors is an integer number (7634753280).

Almost surely, 2^{1429411868640} is an apocalyptic number.

1429411868640 is a gapful number since it is divisible by the number (10) 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 1429411868640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2931745259520).

1429411868640 is an abundant number, since it is smaller than the sum of its proper divisors (4434078650400).

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

1429411868640 is a wasteful number, since it uses less digits than its factorization.

1429411868640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2492 (or 2478 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 1429411868640 in words is "one trillion, four hundred twenty-nine billion, four hundred eleven million, eight hundred sixty-eight thousand, six hundred forty".