1409091936 has 192 divisors, whose sum is σ = 4369075200. Its totient is φ = 389283840.

The previous prime is 1409091923. The next prime is 1409091997. The reversal of 1409091936 is 6391909041.

It is a super-3 number, since 3×1409091936³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5482720 + ... + 5482976.

It is an arithmetic number, because the mean of its divisors is an integer number (22755600).

Almost surely, 2^1409091936 is an apocalyptic number.

1409091936 is a gapful number since it is divisible by the number (16) 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 1409091936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2184537600).

1409091936 is an abundant number, since it is smaller than the sum of its proper divisors (2959983264).

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

1409091936 is a wasteful number, since it uses less digits than its factorization.

1409091936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 42.

The square root of 1409091936 is about 37537.8733547866. The cubic root of 1409091936 is about 1121.1053967524.

It can be divided in two parts, 140909 and 1936, that added together give a triangular number (142845 = T₅₃₄).

The spelling of 1409091936 in words is "one billion, four hundred nine million, ninety-one thousand, nine hundred thirty-six".