1429075651140 has 48 divisors (see below), whose sum is σ = 4446013138560. Its totient is φ = 381086840160.

The previous prime is 1429075651127. The next prime is 1429075651153. The reversal of 1429075651140 is 411565709241.

1429075651140 is a `hidden beast` number, since 1 + 4 + 2 + 90 + 7 + 5 + 6 + 511 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (1429075651127) and next prime (1429075651153).

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 15 ways as a sum of consecutive naturals, for example, 1323217656 + ... + 1323218735.

It is an arithmetic number, because the mean of its divisors is an integer number (92625273720).

Almost surely, 2^{1429075651140} is an apocalyptic number.

1429075651140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1429075651140 is an abundant number, since it is smaller than the sum of its proper divisors (3016937487420).

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

1429075651140 is a wasteful number, since it uses less digits than its factorization.

1429075651140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2646436409 (or 2646436401 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 1429075651140 in words is "one trillion, four hundred twenty-nine billion, seventy-five million, six hundred fifty-one thousand, one hundred forty".