1034557440 has 384 divisors, whose sum is σ = 4019258880. Its totient is φ = 221773824.

The previous prime is 1034557399. The next prime is 1034557453. The reversal of 1034557440 is 447554301.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3655539 + ... + 3655821.

It is an arithmetic number, because the mean of its divisors is an integer number (10466820).

Almost surely, 2^1034557440 is an apocalyptic number.

1034557440 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 1034557440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2009629440).

1034557440 is an abundant number, since it is smaller than the sum of its proper divisors (2984701440).

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

1034557440 is a wasteful number, since it uses less digits than its factorization.

1034557440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 33.

The square root of 1034557440 is about 32164.5369934032. The cubic root of 1034557440 is about 1011.3889461592.

The spelling of 1034557440 in words is "one billion, thirty-four million, five hundred fifty-seven thousand, four hundred forty".