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40473347040 = 253257171931401
BaseRepresentation
bin100101101100011001…
…100100001111100000
310212110122202001120100
4211230121210033200
51130342134101130
630332044142400
72631652526220
oct455431441740
9125418661510
1040473347040
111618a170745
127a16537a00
133a80164c79
141d5d3c6080
1510bd337c60
hex96c6643e0

40473347040 has 1152 divisors, whose sum is σ = 182055444480. Its totient is φ = 7962624000.

The previous prime is 40473347039. The next prime is 40473347177. The reversal of 40473347040 is 4074337404.

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 = 40473346986 and 40473347004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 100930840 + ... + 100931240.

It is an arithmetic number, because the mean of its divisors is an integer number (158034240).

Almost surely, 240473347040 is an apocalyptic number.

40473347040 is a gapful number since it is divisible by the number (40) 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 40473347040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91027722240).

40473347040 is an abundant number, since it is smaller than the sum of its proper divisors (141582097440).

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

40473347040 is a wasteful number, since it uses less digits than its factorization.

40473347040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 36.

The spelling of 40473347040 in words is "forty billion, four hundred seventy-three million, three hundred forty-seven thousand, forty".