1046429143200 has 324 divisors, whose sum is σ = 4292416420110. Its totient is φ = 239183723520.

The previous prime is 1046429143169. The next prime is 1046429143213. The reversal of 1046429143200 is 23419246401.

1046429143200 is a `hidden beast` number, since 1 + 0 + 4 + 642 + 9 + 1 + 4 + 3 + 2 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 704330491536 + 342098651664 = 839244^2 + 584892^2 .

It is a super-2 number, since 2×1046429143200² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 1130235 + ... + 1835834.

Almost surely, 2^{1046429143200} is an apocalyptic number.

1046429143200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1046429143200 is an abundant number, since it is smaller than the sum of its proper divisors (3245987276910).

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

1046429143200 is a wasteful number, since it uses less digits than its factorization.

1046429143200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2966109 (or 2966086 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 1046429143200 in words is "one trillion, forty-six billion, four hundred twenty-nine million, one hundred forty-three thousand, two hundred".