29472455040 has 256 divisors, whose sum is σ = 107534960640. Its totient is φ = 6725836800.

The previous prime is 29472455027. The next prime is 29472455057. The reversal of 29472455040 is 4055427492.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 29472454983 and 29472455001.

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, 11032905 + ... + 11035575.

It is an arithmetic number, because the mean of its divisors is an integer number (420058440).

Almost surely, 2^29472455040 is an apocalyptic number.

29472455040 is a gapful number since it is divisible by the number (20) 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 29472455040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53767480320).

29472455040 is an abundant number, since it is smaller than the sum of its proper divisors (78062505600).

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

29472455040 is a wasteful number, since it uses less digits than its factorization.

29472455040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3521 (or 3509 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 42.

The spelling of 29472455040 in words is "twenty-nine billion, four hundred seventy-two million, four hundred fifty-five thousand, forty".