7251049440 has 288 divisors, whose sum is σ = 26320484736. Its totient is φ = 1811496960.

The previous prime is 7251049411. The next prime is 7251049471. The reversal of 7251049440 is 449401527.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

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 = 7251049395 and 7251049404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6633534 + ... + 6634626.

It is an arithmetic number, because the mean of its divisors is an integer number (91390572).

Almost surely, 2^7251049440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7251049440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13160242368).

7251049440 is an abundant number, since it is smaller than the sum of its proper divisors (19069435296).

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

7251049440 is a wasteful number, since it uses less digits than its factorization.

7251049440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1402 (or 1391 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 7251049440 is about 85153.0941305130. The cubic root of 7251049440 is about 1935.5317009298.

The spelling of 7251049440 in words is "seven billion, two hundred fifty-one million, forty-nine thousand, four hundred forty".