1034956440 has 576 divisors, whose sum is σ = 4235081760. Its totient is φ = 226437120.

The previous prime is 1034956427. The next prime is 1034956441. The reversal of 1034956440 is 446594301.

1034956440 is a `hidden beast` number, since 1 + 0 + 3 + 4 + 9 + 5 + 644 + 0 = 666.

1034956440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1034956440² = 2142269665394947200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1034956395 and 1034956404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1034956441) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 19527454 + ... + 19527506.

Almost surely, 2^1034956440 is an apocalyptic number.

1034956440 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 1034956440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2117540880).

1034956440 is an abundant number, since it is smaller than the sum of its proper divisors (3200125320).

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

1034956440 is a wasteful number, since it uses less digits than its factorization.

1034956440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 1034956440 is about 32170.7388786767. The cubic root of 1034956440 is about 1011.5189509666.

The spelling of 1034956440 in words is "one billion, thirty-four million, nine hundred fifty-six thousand, four hundred forty".