38401148412640 has 192 divisors, whose sum is σ = 98194537103040. Its totient is φ = 14107456880640.

The previous prime is 38401148412563. The next prime is 38401148412667. The reversal of 38401148412640 is 4621484110483.

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, 425749627 + ... + 425839813.

It is an arithmetic number, because the mean of its divisors is an integer number (511429880745).

Almost surely, 2^{38401148412640} 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 38401148412640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49097268551520).

38401148412640 is an abundant number, since it is smaller than the sum of its proper divisors (59793388690400).

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

38401148412640 is a wasteful number, since it uses less digits than its factorization.

38401148412640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91245 (or 91237 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 46.

The spelling of 38401148412640 in words is "thirty-eight trillion, four hundred one billion, one hundred forty-eight million, four hundred twelve thousand, six hundred forty".