1429001979048 has 512 divisors, whose sum is σ = 5037261696000. Its totient is φ = 365922385920.

The previous prime is 1429001979047. The next prime is 1429001979071. The reversal of 1429001979048 is 8409791009241.

1429001979048 is a `hidden beast` number, since 1 + 429 + 0 + 0 + 1 + 97 + 90 + 48 = 666.

It is a super-2 number, since 2×1429001979048² (a number of 25 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1429001978985 and 1429001979003.

It is not an unprimeable number, because it can be changed into a prime (1429001979047) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 54402238 + ... + 54428498.

It is an arithmetic number, because the mean of its divisors is an integer number (9838401750).

Almost surely, 2^{1429001979048} is an apocalyptic number.

1429001979048 is a gapful number since it is divisible by the number (18) 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 1429001979048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2518630848000).

1429001979048 is an abundant number, since it is smaller than the sum of its proper divisors (3608259716952).

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

1429001979048 is a wasteful number, since it uses less digits than its factorization.

1429001979048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26402 (or 26392 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The spelling of 1429001979048 in words is "one trillion, four hundred twenty-nine billion, one million, nine hundred seventy-nine thousand, forty-eight".