4251461040 has 80 divisors (see below), whose sum is σ = 14643928800. Its totient is φ = 1133722368.

The previous prime is 4251460991. The next prime is 4251461051. The reversal of 4251461040 is 401641524.

4251461040 is a `hidden beast` number, since 4 + 2 + 5 + 1 + 4 + 610 + 40 = 666.

4251461040 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 4251460995 and 4251461013.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 981975 + ... + 986294.

It is an arithmetic number, because the mean of its divisors is an integer number (183049110).

Almost surely, 2^4251461040 is an apocalyptic number.

4251461040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4251461040 is an abundant number, since it is smaller than the sum of its proper divisors (10392467760).

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

4251461040 is a wasteful number, since it uses less digits than its factorization.

4251461040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1968291 (or 1968279 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 4251461040 is about 65203.2287544106. The cubic root of 4251461040 is about 1619.9914951543.

The spelling of 4251461040 in words is "four billion, two hundred fifty-one million, four hundred sixty-one thousand, forty".