1954429731072 has 1296 divisors, whose sum is σ = 7592207109760. Its totient is φ = 487599243264.

The previous prime is 1954429731049. The next prime is 1954429731097. The reversal of 1954429731072 is 2701379244591.

1954429731072 is a `hidden beast` number, since 1 + 9 + 5 + 442 + 97 + 3 + 107 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

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 143 ways as a sum of consecutive naturals, for example, 2904055728 + ... + 2904056400.

Almost surely, 2^{1954429731072} is an apocalyptic number.

1954429731072 is a gapful number since it is divisible by the number (12) 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 1954429731072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3796103554880).

1954429731072 is an abundant number, since it is smaller than the sum of its proper divisors (5637777378688).

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

1954429731072 is an frugal number, since it uses more digits than its factorization.

1954429731072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 752 (or 717 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 1954429731072 in words is "one trillion, nine hundred fifty-four billion, four hundred twenty-nine million, seven hundred thirty-one thousand, seventy-two".