1029461861376 has 495 divisors, whose sum is σ = 3341168585073. Its totient is φ = 315588648960.

The previous prime is 1029461861353. The next prime is 1029461861401. The reversal of 1029461861376 is 6731681649201.

The square root of 1029461861376 is 1014624.

It is a perfect power (a square), and thus also a powerful number.

1029461861376 is a `hidden beast` number, since 1 + 0 + 2 + 9 + 4 + 6 + 18 + 613 + 7 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 152287257600 + 877174603776 = 390240^2 + 936576^2 .

It is a super-2 number, since 2×1029461861376² (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 an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 3798752121 + ... + 3798752391.

Almost surely, 2^{1029461861376} is an apocalyptic number.

1029461861376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1029461861376 is the 1014624-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1029461861376

1029461861376 is an abundant number, since it is smaller than the sum of its proper divisors (2311706723697).

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

1029461861376 is an frugal number, since it uses more digits than its factorization.

1029461861376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 1029461861376 in words is "one trillion, twenty-nine billion, four hundred sixty-one million, eight hundred sixty-one thousand, three hundred seventy-six".