1061414400 has 240 divisors, whose sum is σ = 3549826368. Its totient is φ = 279552000.

The previous prime is 1061414399. The next prime is 1061414401. The reversal of 1061414400 is 44141601.

It is an interprime number because it is at equal distance from previous prime (1061414399) and next prime (1061414401).

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×1061414400² = 2253201057054720000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1061414401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5030295 + ... + 5030505.

Almost surely, 2^1061414400 is an apocalyptic number.

1061414400 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 1061414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1774913184).

1061414400 is an abundant number, since it is smaller than the sum of its proper divisors (2488411968).

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

1061414400 is a wasteful number, since it uses less digits than its factorization.

1061414400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 1061414400 is about 32579.3554264046. The cubic root of 1061414400 is about 1020.0661241254.

The spelling of 1061414400 in words is "one billion, sixty-one million, four hundred fourteen thousand, four hundred".