1061998106400 has 576 divisors, whose sum is σ = 4788653506560. Its totient is φ = 220674585600.

The previous prime is 1061998106347. The next prime is 1061998106441. The reversal of 1061998106400 is 46018991601.

1061998106400 is a `hidden beast` number, since 10 + 619 + 9 + 8 + 10 + 6 + 4 + 0 + 0 = 666.

It is a super-2 number, since 2×1061998106400² (a number of 25 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 1343937 + ... + 1982463.

It is an arithmetic number, because the mean of its divisors is an integer number (8313634560).

Almost surely, 2^{1061998106400} is an apocalyptic number.

1061998106400 is a gapful number since it is divisible by the number (10) 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 1061998106400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2394326753280).

1061998106400 is an abundant number, since it is smaller than the sum of its proper divisors (3726655400160).

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

1061998106400 is a wasteful number, since it uses less digits than its factorization.

1061998106400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638574 (or 638555 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The spelling of 1061998106400 in words is "one trillion, sixty-one billion, nine hundred ninety-eight million, one hundred six thousand, four hundred".